506072163 has 16 divisors (see below), whose sum is σ = 711123200. Its totient is φ = 319243680.

The previous prime is 506072153. The next prime is 506072209. The reversal of 506072163 is 361270605.

It is not a de Polignac number, because 506072163 - 2²⁰ = 505023587 is a prime.

It is a super-2 number, since 2×506072163² = 512218068326997138, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506072163.

It is not an unprimeable number, because it can be changed into a prime (506072113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47553 + ... + 57213.

It is an arithmetic number, because the mean of its divisors is an integer number (44445200).

Almost surely, 2^506072163 is an apocalyptic number.

506072163 is a deficient number, since it is larger than the sum of its proper divisors (205051037).

506072163 is a wasteful number, since it uses less digits than its factorization.

506072163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 506072163 is about 22496.0477195440. The cubic root of 506072163 is about 796.9005924945.

The spelling of 506072163 in words is "five hundred six million, seventy-two thousand, one hundred sixty-three".